If the line x-1/2 = y+1/3 = z-2/4 meets the plane x+2y+3z=15 at a point P, then the distance of P from the origin is?

Correct option is A. 92
Any point on the given line can be (1+2λ, -1+3λ, 2+4λ); λ∈R
Put in plane
1+2λ + (-2+6λ) + (6+12λ) = 15
20λ + 5 = 15
20λ = 10
λ = 1/2
∴ Point (2, 1/2, 4)
Distance from origin = √(4 + 1/4 + 16) = √(81/4) = 9/2 = 4.5